Atkin-Lehner |
11- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
129833c |
Isogeny class |
Conductor |
129833 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24672 |
Modular degree for the optimal curve |
Δ |
15709793 = 114 · 29 · 37 |
Discriminant |
Eigenvalues |
-1 -2 0 3 11- 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:13:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
1890625/1073 |
j-invariant |
L |
5.9312210027102 |
L(r)(E,1)/r! |
Ω |
1.8294123549085 |
Real period |
R |
1.0807151633084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999781323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129833e1 |
Quadratic twists by: -11 |